Finite Frames

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Finite Frames

Author : Peter G. Casazza
Publisher : Springer Science & Business Media
ISBN 13 : 0817683739
Total Pages : 492 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Finite Frames by : Peter G. Casazza

Download or read book Finite Frames written by Peter G. Casazza and published by Springer Science & Business Media. This book was released on 2012-09-14 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hilbert space frames have long served as a valuable tool for signal and image processing due to their resilience to additive noise, quantization, and erasures, as well as their ability to capture valuable signal characteristics. More recently, finite frame theory has grown into an important research topic in its own right, with a myriad of applications to pure and applied mathematics, engineering, computer science, and other areas. The number of research publications, conferences, and workshops on this topic has increased dramatically over the past few years, but no survey paper or monograph has yet appeared on the subject. Edited by two of the leading experts in the field, Finite Frames aims to fill this void in the literature by providing a comprehensive, systematic study of finite frame theory and applications. With carefully selected contributions written by highly experienced researchers, it covers topics including: * Finite Frame Constructions; * Optimal Erasure Resilient Frames; * Quantization of Finite Frames; * Finite Frames and Compressed Sensing; * Group and Gabor Frames; * Fusion Frames. Despite the variety of its chapters' source and content, the book's notation and terminology are unified throughout and provide a definitive picture of the current state of frame theory. With a broad range of applications and a clear, full presentation, this book is a highly valuable resource for graduate students and researchers across disciplines such as applied harmonic analysis, electrical engineering, quantum computing, medicine, and more. It is designed to be used as a supplemental textbook, self-study guide, or reference book.

Finite Frame Theory: A Complete Introduction to Overcompleteness

Author : Kasso A. Okoudjou
Publisher : American Mathematical Soc.
ISBN 13 : 1470420198
Total Pages : 241 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Finite Frame Theory: A Complete Introduction to Overcompleteness by : Kasso A. Okoudjou

Download or read book Finite Frame Theory: A Complete Introduction to Overcompleteness written by Kasso A. Okoudjou and published by American Mathematical Soc.. This book was released on 2016-07-13 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: Frames are overcomplete sets of vectors that can be used to stably and faithfully decompose and reconstruct vectors in the underlying vector space. Frame theory stands at the intersection of many areas in mathematics such as functional and harmonic analysis, numerical analysis, matrix theory, numerical linear algebra, algebraic and differential geometry, probability, statistics, and convex geometry. At the same time its applications in engineering, medicine, computer science, and quantum computing are motivating new research problems in applied and pure mathematics. This volume is based on lectures delivered at the 2015 AMS Short Course “Finite Frame Theory: A Complete Introduction to Overcompleteness”, held January 8–9, 2015 in San Antonio, TX. Mostly written in a tutorial style, the seven chapters contained in this volume survey recent advances in the theory and applications of finite frames. In particular, it presents state-of-the-art results on foundational frame problems, and on the analysis and design of various frames, mostly motivated by specific applications. Carefully assembled, the volume quickly introduces the non-expert to the basic tools and techniques of frame theory. It then moves to develop many recent results in the area and presents some important applications. As such, the volume is designed for a diverse audience including researchers in applied and computational harmonic analysis, as well as engineers and graduate students.

An Introduction to Finite Tight Frames

Author : Shayne F. D. Waldron
Publisher : Springer
ISBN 13 : 0817648151
Total Pages : 587 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis An Introduction to Finite Tight Frames by : Shayne F. D. Waldron

Download or read book An Introduction to Finite Tight Frames written by Shayne F. D. Waldron and published by Springer. This book was released on 2018-02-03 with total page 587 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is an introduction to the theory and applications of finite tight frames, an area that has developed rapidly in the last decade. Stimulating much of this growth are the applications of finite frames to diverse fields such as signal processing, quantum information theory, multivariate orthogonal polynomials, and remote sensing. Featuring exercises and MATLAB examples in each chapter, the book is well suited as a textbook for a graduate course or seminar involving finite frames. The self-contained, user-friendly presentation also makes the work useful as a self-study resource or reference for graduate students, instructors, researchers, and practitioners in pure and applied mathematics, engineering, mathematical physics, and signal processing.

An Introduction to Frames and Riesz Bases

Author : Ole Christensen
Publisher : Springer Science & Business Media
ISBN 13 : 9780817642952
Total Pages : 472 pages
Book Rating : 4.6/5 (429 download)

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Book Synopsis An Introduction to Frames and Riesz Bases by : Ole Christensen

Download or read book An Introduction to Frames and Riesz Bases written by Ole Christensen and published by Springer Science & Business Media. This book was released on 2002-12-13 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Applied and Numerical Harmonic Analysis ( ANHA) book series aims to provide the engineering, mathematical, and scientific communities with significant developments in harmonic analysis, ranging from abstract har monic analysis to basic applications. The title of the series reflects the im portance of applications and numerical implementation, but richness and relevance of applications and implementation depend fundamentally on the structure and depth of theoretical underpinnings. Thus, from our point of view, the interleaving of theory and applications and their creative symbi otic evolution is axiomatic. Harmonic analysis is a wellspring of ideas and applicability that has flour ished, developed, and deepened over time within many disciplines and by means of creative cross-fertilization with diverse areas. The intricate and fundamental relationship between harmonic analysis and fields such as sig nal processing, partial differential equations (PDEs), and image processing is reflected in our state of the art ANHA series. Our vision of modern harmonic analysis includes mathematical areas such as wavelet theory, Banach algebras, classical Fourier analysis, time frequency analysis, and fractal geometry, as well as the diverse topics that impinge on them.

Finite Frames

Author : Gitta Kutyniok
Publisher :
ISBN 13 : 9781283621717
Total Pages : 492 pages
Book Rating : 4.6/5 (217 download)

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Book Synopsis Finite Frames by : Gitta Kutyniok

Download or read book Finite Frames written by Gitta Kutyniok and published by . This book was released on 2012 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Frames for Undergraduates

Author : Deguang Han
Publisher : American Mathematical Soc.
ISBN 13 : 0821842129
Total Pages : 314 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Frames for Undergraduates by : Deguang Han

Download or read book Frames for Undergraduates written by Deguang Han and published by American Mathematical Soc.. This book was released on 2007 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The early chapters contain the topics from linear algebra that students need to know in order to read the rest of the book. The later chapters are devoted to advanced topics, which allow students with more experience to study more intricate types of frames. Toward that end, a Student Presentation section gives detailed proofs of fairly technical results with the intention that a student could work out these proofs independently and prepare a presentation to a class or research group. The authors have also presented some stories in the Anecdotes section about how this material has motivated and influenced their students."--BOOK JACKET.

An Introduction to Frames and Riesz Bases

Author : Ole Christensen
Publisher : Birkhäuser
ISBN 13 : 3319256130
Total Pages : 704 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis An Introduction to Frames and Riesz Bases by : Ole Christensen

Download or read book An Introduction to Frames and Riesz Bases written by Ole Christensen and published by Birkhäuser. This book was released on 2016-05-24 with total page 704 pages. Available in PDF, EPUB and Kindle. Book excerpt: This revised and expanded monograph presents the general theory for frames and Riesz bases in Hilbert spaces as well as its concrete realizations within Gabor analysis, wavelet analysis, and generalized shift-invariant systems. Compared with the first edition, more emphasis is put on explicit constructions with attractive properties. Based on the exiting development of frame theory over the last decade, this second edition now includes new sections on the rapidly growing fields of LCA groups, generalized shift-invariant systems, duality theory for as well Gabor frames as wavelet frames, and open problems in the field. Key features include: *Elementary introduction to frame theory in finite-dimensional spaces * Basic results presented in an accessible way for both pure and applied mathematicians * Extensive exercises make the work suitable as a textbook for use in graduate courses * Full proofs includ ed in introductory chapters; only basic knowledge of functional analysis required * Explicit constructions of frames and dual pairs of frames, with applications and connections to time-frequency analysis, wavelets, and generalized shift-invariant systems * Discussion of frames on LCA groups and the concrete realizations in terms of Gabor systems on the elementary groups; connections to sampling theory * Selected research topics presented with recommendations for more advanced topics and further readin g * Open problems to stimulate further research An Introduction to Frames and Riesz Bases will be of interest to graduate students and researchers working in pure and applied mathematics, mathematical physics, and engineering. Professionals working in digital signal processing who wish to understand the theory behind many modern signal processing tools may also find this book a useful self-study reference. Review of the first edition: "Ole Christensen’s An Introduction to Frames and Riesz Bases is a first-rate introduction to the field ... . The book provides an excellent exposition of these topics. The material is broad enough to pique the interest of many readers, the included exercises supply some interesting challenges, and the coverage provides enough background for those new to the subject to begin conducting original research." — Eric S. Weber, American Mathematical Monthly, Vol. 112, February, 2005

Logic, Language, Information, and Computation

Author : Jouko Väänänen
Publisher : Springer
ISBN 13 : 3662529211
Total Pages : 447 pages
Book Rating : 4.6/5 (625 download)

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Book Synopsis Logic, Language, Information, and Computation by : Jouko Väänänen

Download or read book Logic, Language, Information, and Computation written by Jouko Väänänen and published by Springer. This book was released on 2016-08-05 with total page 447 pages. Available in PDF, EPUB and Kindle. Book excerpt: Edited in collaboration with FoLLI, the Association of Logic, Language and Information this book constitutes the refereed proceedings of the 23rd Workshop on Logic, Language, Information and Communication, WoLLIC 2016, held in Puebla, Mexico, in August 2016.The 23 contributed papers, presented together with 9 invited lectures and tutorials, were carefully reviewed and selected from 33 submissions. The focus of the workshop is to provide a forum on inter-disciplinary research involving formal logic, computing and programming theory, and natural language and reasoning.

Handbook of Philosophical Logic

Author : Dov M. Gabbay
Publisher : Springer Science & Business Media
ISBN 13 : 9780792371601
Total Pages : 430 pages
Book Rating : 4.3/5 (716 download)

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Book Synopsis Handbook of Philosophical Logic by : Dov M. Gabbay

Download or read book Handbook of Philosophical Logic written by Dov M. Gabbay and published by Springer Science & Business Media. This book was released on 2001-08-31 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is with great pleasure that we are presenting to the community the second edition of this extraordinary handbook. It has been over 15 years since the publication of the first edition and there have been great changes in the landscape of philosophical logic since then. The first edition has proved invaluable to generations of students and researchers in formal philosophy and language, as well as to consumers of logic in many applied areas. The main logic artiele in the Encyelopaedia Britannica 1999 has described the first edition as 'the best starting point for exploring any of the topics in logic'. We are confident that the second edition will prove to be just as good. ! The first edition was the second handbook published for the logic commu nity. It followed the North Holland one volume Handbook 0/ Mathematical Logic, published in 1977, edited by the late Jon Barwise. The four volume Handbook 0/ Philosophical Logic, published 1983-1989 came at a fortunate temporal junction at the evolution of logic. This was the time when logic was gaining ground in computer science and artificial intelligence cireles. These areas were under increasing commercial press ure to provide devices which help and/or replace the human in his daily activity. This pressure required the use of logic in the modelling of human activity and organisa tion on the one hand and to provide the theoretical basis for the computer program constructs on the other.

A Companion to Philosophical Logic

Author : Dale Jacquette
Publisher : John Wiley & Sons
ISBN 13 : 1405149949
Total Pages : 832 pages
Book Rating : 4.4/5 (51 download)

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Book Synopsis A Companion to Philosophical Logic by : Dale Jacquette

Download or read book A Companion to Philosophical Logic written by Dale Jacquette and published by John Wiley & Sons. This book was released on 2008-04-15 with total page 832 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of newly comissioned essays by international contributors offers a representative overview of the most important developments in contemporary philosophical logic. Presents controversies in philosophical implications and applications of formal symbolic logic. Surveys major trends and offers original insights.

Excursions in Harmonic Analysis, Volume 4

Author : Radu Balan
Publisher : Birkhäuser
ISBN 13 : 3319201883
Total Pages : 428 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Excursions in Harmonic Analysis, Volume 4 by : Radu Balan

Download or read book Excursions in Harmonic Analysis, Volume 4 written by Radu Balan and published by Birkhäuser. This book was released on 2015-10-20 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume consists of contributions spanning a wide spectrum of harmonic analysis and its applications written by speakers at the February Fourier Talks from 2002 – 2013. Containing cutting-edge results by an impressive array of mathematicians, engineers and scientists in academia, industry and government, it will be an excellent reference for graduate students, researchers and professionals in pure and applied mathematics, physics and engineering. Topics covered include: Special Topics in Harmonic Analysis Applications and Algorithms in the Physical Sciences Gabor Theory RADAR and Communications: Design, Theory, and Applications The February Fourier Talks are held annually at the Norbert Wiener Center for Harmonic Analysis and Applications. Located at the University of Maryland, College Park, the Norbert Wiener Center provides a state-of- the-art research venue for the broad emerging area of mathematical engineering.

Finite Frames

Author : Springer
Publisher :
ISBN 13 : 9780817683740
Total Pages : 504 pages
Book Rating : 4.6/5 (837 download)

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Book Synopsis Finite Frames by : Springer

Download or read book Finite Frames written by Springer and published by . This book was released on 2012-09-15 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Primer On Smooth Manifolds

Author : Luca Vitagliano
Publisher : World Scientific
ISBN 13 : 9811283966
Total Pages : 299 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis A Primer On Smooth Manifolds by : Luca Vitagliano

Download or read book A Primer On Smooth Manifolds written by Luca Vitagliano and published by World Scientific. This book was released on 2024-02-27 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: Differential Geometry is one of the major branches of current Mathematics, and it is an unavoidable language in modern Physics. The main characters in Differential Geometry are smooth manifolds: a class of geometric objects that locally behave like the standard Euclidean space.The book provides a first introduction to smooth manifolds, aimed at undergraduate students in Mathematics and Physics. The only prerequisites are the Linear Algebra and Calculus typically covered in the first two years. The presentation is as simple as possible, but it does not sacrifice the rigor.The lecture notes are divided into 10 chapters, with gradually increasing difficulty. The first chapters cover basic material, while the last ones present more sophisticated topics. The definitions, propositions, and proofs are complemented by examples and exercises. The exercises, which include part of the proofs, are designed to help the reader learn the language of Differential Geometry and develop their problem-solving skills in the area. The exercises are also aimed at promoting an active learning process. Finally, the book contains pictures which are useful aids for the visualization of abstract geometric situations. The lecture notes can be used by instructors as teaching material in a one-semester course on smooth manifolds.

Information Systems-correctness And Reusability - Selected Papers Form The Is-core Workshop

Author : Roel J Wieringa
Publisher : World Scientific
ISBN 13 : 9814549339
Total Pages : 302 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Information Systems-correctness And Reusability - Selected Papers Form The Is-core Workshop by : Roel J Wieringa

Download or read book Information Systems-correctness And Reusability - Selected Papers Form The Is-core Workshop written by Roel J Wieringa and published by World Scientific. This book was released on 1995-06-09 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains papers on formal system specification. The chapters treat algebraic specification, temporal logic specification, default specifications and deontic logic specification. Applications include information systems, distributed systems, and real-time systems. One of the major themes in the book is the motivation to bring formal specification techniques one step further towards realistic applications.

Propositional Logics 3rd edition

Author : Richard L Epstein
Publisher : Advanced Reasoning Forum
ISBN 13 : 0983452172
Total Pages : 509 pages
Book Rating : 4.9/5 (834 download)

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Book Synopsis Propositional Logics 3rd edition by : Richard L Epstein

Download or read book Propositional Logics 3rd edition written by Richard L Epstein and published by Advanced Reasoning Forum. This book was released on 2018-11-05 with total page 509 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the history, philosophy, and mathematics of the major systems of propositional logic. Classical logic, modal logics, many-valued logics, intuitionism, paraconsistent logics, and dependent implication are examined in separate chapters. Each begins with a motivation in the originators' own terms, followed by the standard formal semantics, syntax, and completeness theorem. The chapters on the various logics are largely self-contained so that the book can be used as a reference. An appendix summarizes the formal semantics and axiomatizations of the logics. The view that unifies the exposition is that propositional logics comprise a spectrum: as the aspect of propositions under consideration varies, the logic varies. Each logic is shown to fall naturally within a general framework for semantics. A theory of translations between logics is presented that allows for further comparisons, and necessary conditions are given for a translation to preserve meaning. For this third edition the material has been re-organized to make the text easier to study, and a new section on paraconsistent logics with simple semantics has been added which challenges standard views on the nature of consequence relations. The text includes worked examples and hundreds of exercises, from routine to open problems, making the book with its clear and careful exposition ideal for courses or individual study.

Logic and Foundations of Mathematics

Author : Andrea Cantini
Publisher : Springer Science & Business Media
ISBN 13 : 9401721092
Total Pages : 283 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis Logic and Foundations of Mathematics by : Andrea Cantini

Download or read book Logic and Foundations of Mathematics written by Andrea Cantini and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: The IOth International Congress of Logic, Methodology and Philosophy of Science, which took place in Florence in August 1995, offered a vivid and comprehensive picture of the present state of research in all directions of Logic and Philosophy of Science. The final program counted 51 invited lectures and around 700 contributed papers, distributed in 15 sections. Following the tradition of previous LMPS-meetings, some authors, whose papers aroused particular interest, were invited to submit their works for publication in a collection of selected contributed papers. Due to the large number of interesting contributions, it was decided to split the collection into two distinct volumes: one covering the areas of Logic, Foundations of Mathematics and Computer Science, the other focusing on the general Philosophy of Science and the Foundations of Physics. As a leading choice criterion for the present volume, we tried to combine papers containing relevant technical results in pure and applied logic with papers devoted to conceptual analyses, deeply rooted in advanced present-day research. After all, we believe this is part of the genuine spirit underlying the whole enterprise of LMPS studies.

Larisa Maksimova on Implication, Interpolation, and Definability

Author : Sergei Odintsov
Publisher : Springer
ISBN 13 : 3319699172
Total Pages : 371 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Larisa Maksimova on Implication, Interpolation, and Definability by : Sergei Odintsov

Download or read book Larisa Maksimova on Implication, Interpolation, and Definability written by Sergei Odintsov and published by Springer. This book was released on 2018-01-30 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited volume focuses on the work of Professor Larisa Maksimova, providing a comprehensive account of her outstanding contributions to different branches of non-classical logic. The book covers themes ranging from rigorous implication, relevance and algebraic logic, to interpolation, definability and recognizability in superintuitionistic and modal logics. It features both her scientific autobiography and original contributions from experts in the field of non-classical logics. Professor Larisa Maksimova's influential work involved combining methods of algebraic and relational semantics. Readers will be able to trace both influences on her work, and the ways in which her work has influenced other logicians. In the historical part of this book, it is possible to trace important milestones in Maksimova’s career. Early on, she developed an algebraic semantics for relevance logics and relational semantics for the logic of entailment. Later, Maksimova discovered that among the continuum of superintuitionisitc logics there are exactly three pretabular logics. She went on to obtain results on the decidability of tabularity and local tabularity problems for superintuitionistic logics and for extensions of S4. Further investigations by Maksimova were aimed at the study of fundamental properties of logical systems (different versions of interpolation and definability, disjunction property, etc.) in big classes of logics, and on decidability and recognizability of such properties. To this end she determined a powerful combination of algebraic and semantic methods, which essentially determine the modern state of investigations in the area, as can be seen in the later chapters of this book authored by leading experts in non-classical logics. These original contributions bring the reader up to date on the very latest work in this field.